{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "10ccb683",
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import print_function\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import curve_fit\n",
    "import os, sys, glob\n",
    "# from scipy.signal import savgol_filter\n",
    "%matplotlib inline\n",
    "# import matplotlib as mpl\n",
    "# mpl.rcParams['figure.dpi']=300\n",
    "# mpl.rcParams['mathtext.fontset']='stix'\n",
    "# mpl.rcParams['font.family']='STIXGeneral'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fbe73385",
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_raw(filename,sheetname):\n",
    "    \"\"\"Load the original data into a dataframe\"\"\"\n",
    "    dg = pd.read_excel(filename, sheet_name=sheetname, usecols=['Size', 'Avg_Intensity'])\n",
    "    return dg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "51bbb3f9-f9cd-4451-8ef1-80db10bc3323",
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_raw2(filename,sheetname):\n",
    "    \"\"\"Load the original data into a dataframe\"\"\"\n",
    "    dg=pd.read_excel(filename,header=None,sheet_name=sheetname,names=['Size','Avg_Intensity'],skiprows=1)\n",
    "    return dg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c56dd172",
   "metadata": {},
   "outputs": [],
   "source": [
    "# os.getcwd()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4946e613",
   "metadata": {},
   "outputs": [],
   "source": [
    "# glob.glob(\"**\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "fe75759f",
   "metadata": {},
   "outputs": [],
   "source": [
    "d_peg2k=load_raw('Silver_proj.xlsx','PEG2k_Ag10')\n",
    "d_peg5k=load_raw('Silver_proj.xlsx','PEG_5k_Ag10')\n",
    "d_peg20k=load_raw('Silver_proj.xlsx','PEG_20k_AgNP10')\n",
    "d_peg40k=load_raw('Silver_proj.xlsx','PEG_40k_AgNP10')\n",
    "d_peg5k_au=load_raw('Silver_proj.xlsx','PEG5k_Au5')\n",
    "d_ag10=load_raw('Silver_proj.xlsx','Bare_Ag10')\n",
    "d_au5=load_raw('Silver_proj.xlsx','Bare_Au5')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e86f0a19",
   "metadata": {},
   "outputs": [],
   "source": [
    "# d_bare10, d_paa10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0d733260",
   "metadata": {},
   "outputs": [],
   "source": [
    "xdata = np.asarray(d_peg2k['Size']) #X-axis vlues\n",
    "ydata1 = np.asarray(d_peg5k['Avg_Intensity']) #bare_Au10\n",
    "ydata2 = np.asarray(d_peg20k['Avg_Intensity']) #paa_Au10\n",
    "ydata3 = np.asarray(d_peg40k['Avg_Intensity']) #bare_Au5\n",
    "ydata4 = np.asarray(d_peg5k_au['Avg_Intensity']) #paa_Au5\n",
    "ydata5 = np.asarray(d_ag10['Avg_Intensity']) #cooh5\n",
    "ydata6 = np.asarray(d_au5['Avg_Intensity']) #cooh10\n",
    "ydata7 = np.asarray(d_peg2k['Avg_Intensity']) #cooh10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "031e6776",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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meV0AECS2bSubzWpwcFDNzc1KJBKKRCJelwUAgUL4ACqUyWSUSqW0Y8eOoXXRaFTd3d3q6OjwsDIACBYuuwAVyGQySiaTw4KHJA0MDCiZTCqTyXhUGQAED+EDmIBt20qlUnIcZ9RzpXXpdFq2bZsuDQACifABTCCbzY4643Eox3GUy+WUzWYNVgUAwUX4ACYwODjo6nYAEHaED2ACzc3Nrm4HAGFXk/AxMDCgT3ziE5o9e7aOOuooLVy4UFu2bKnFRwE1l0gkFI1GZVlW2ecty1IsFlMikTBcGQAEk+vh49///rfe//736/DDD9cvf/lLvfjii/r2t7+to48+2u2PAoyIRCLq7u6WpFEBpPS4q6uL+T4AoEKWU64L/xQsX75czzzzTMWd74rFoorF4tDjQqGgWCymfD6vxsZGN0sDpqTcPB+xWExdXV3M8wEg9AqFgpqamio6frsePk499VRdfPHF2rFjh9avX6/W1lbddNNN+vSnP112+7vuukt33333qPWED/gRM5wCQHmeho8jjjhCkrRs2TJ99KMf1QsvvKB0Oq3vfe97uu6660Ztz5kPAACCz9PwMX36dJ1zzjnauHHj0Lpbb71VmzZt0rPPPjvh66spHgAA+EM1x2/XO5w2Nzfr1FNPHbbulFNO0euvv+72RwEAgABy/cZy73//+/XSSy8NW/fyyy/rhBNOcPujgFCi3wmAoHP9zMcXvvAFPffcc/rWt76l7du3a/Xq1XrwwQd18803u/1RQOhkMhnF43G1t7dr8eLFam9vVzwe58Z2AALF9T4fkvTUU09pxYoVeuWVVzRv3jwtW7ZszNEuI9HnAyivdGfdkbtsaa6Rnp4ehvwC8IynHU6nivABjGbbtuLx+Jg3uLMsS9FoVP39/VyCAeAJTzucAnAfd9YFUE8IH0AAcGddAPWE8AEEAHfWBVBPCB9AAHBnXQD1hPABBAB31q0vtm2rr69Pa9asUV9fn2zb9rokwCjCBxAQHR0d6unpUWtr67D10WiUYbYBwlwtAENtgcBhhtPgYq4W1DPm+QAAn2GuFtQ75vkAAJ9hrhbgfwgfAGAAc7UA/0P4AAADKp2DZdeuXYyCQd2jzwcAGFDq8zEwMDCqw2lJJBIZFjii0ai6u7vphIpAoM8HAPjMeHO1lIw80zEwMKBkMskwXNQdwgcAGDLWXC1jjW4pnSFJp9NcgkFd4bILANTAePOxHPrcrl279IUvfGHC9+vt7VVbW1uNqwYmr5rj9zRDNQFAaGQyGaVSqWFDaw/tvxGJRIaCxJo1ayp6T0bBoJ5w2QUAXFSaxXTknB5j9d/gjsUIIy67AIBLJjOL6USjYJj5FEHBaBcA8MBkZjHljsUII8IHALhksrOYcsdihA0dTgHAJVPpv9HR0aErr7ySOxYjFOjzAQAuof8Gwow+HwDgAfpvAJUhfACAi+i/AUyMyy4AUAPjzXAK1CNmOAUAjx06iymA4bjsAgAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjGGoLAAHAvCGoJ4QPAPC5TCajVCqlHTt2DK2LRqPq7u5mxlQEEpddAMDHMpmMksnksOAhSQMDA0omk8pkMh5VBkwe4QMAfMq2baVSqbJ3yC2tS6fTsm3bdGnAlBA+AMCnstnsqDMeh3IcR7lcTtls1mBVwNQRPgDApwYHB13dDvALwgcA+FRzc7Or2wF+UfPw0dnZKcuylE6na/1RAGCcbdvq6+vTmjVr1NfX52r/i0QioWg0Ksuyyj5vWZZisZgSiYRrnwmYUNPwsWnTJj344IM644wzavkxAOCJTCajeDyu9vZ2LV68WO3t7YrH466NQIlEIuru7pakUQGk9Lirq4v5PhA4NQsfe/fu1cc//nE99NBDOuaYY8bcrlgsqlAoDFsAwO9MDYHt6OhQT0+PWltbh62PRqPq6elhng8EkuWUG8PlgqVLl2rWrFm677771NbWpoULF6qrq2vUdnfddZfuvvvuUevz+bwaGxtrURoATIlt24rH42OORLEsS9FoVP39/a6dlWCGU/hdoVBQU1NTRcfvmsxw+uijj2rr1q3atGnThNuuWLFCy5YtG3pcKBQUi8VqURYAuKKaIbBtbW2ufGYkEnHtvQCvuR4+crmcUqmUfv3rX+uII46YcPuGhgY1NDS4XQYA1AxDYIGpcT18bNmyRbt379bZZ589tM62bW3YsEGrVq1SsVjkVCGAQGMILDA1roePiy66SH/+85+Hrbvhhht08skn64477iB4AAi80hDYgYGBslOfl/p8MAQWKM/18DFz5kyddtppw9bNmDFDs2fPHrUeAIKoNAQ2mUzKsqxhAYQhsMDEmOEUACaBIbDA5NVsqO1kVTNUBwC8xhBY4CDPh9oCQFgwBBaoHpddAACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFGEDwAAYBThAwAAGEX4AAAARnFjOQAIOO6si6AhfABAgGUyGaVSKe3YsWNoXTQaVXd3tzo6OjysDBgbl10AIKAymYySyeSw4CFJAwMDSiaTymQyHlUGjI/wAQABZNu2UqmUHMcZ9VxpXTqdlm3bpksDJkT4AIAAymazo854HMpxHOVyOWWzWYNVAZUhfABAAA0ODrq6HWAS4QMAAqi5udnV7QCTCB8AEECJRELRaFSWZZV93rIsxWIxJRIJw5UBEyN8AEAARSIRdXd3S9KoAFJ63NXVxXwf8CXCBwAEVEdHh3p6etTa2jpsfTQaVU9PD/N8wLcsp9w4LQ8VCgU1NTUpn8+rsbHR63IAwPcziPq9PoRDNcdvZjgFgHEEYQbRSCSitrY2r8sAKsZlFwAYAzOIArVB+ACAMphBFKgdwgcAlMEMokDtED4AoAxmEAVqh/ABAGUwgyhQO4QPACiDGUSB2iF8AEAZzCAK1A7hAwDGwAyiQG0wwykATIAZRIGJMcMpALiIGUQBd3HZBQAAGMWZD6COcHkAQBAQPoA6EYQboAGAVIPLLp2dnTr33HM1c+ZMHXfccbrqqqv00ksvuf0xQM3Ytq2+vj6tWbNGfX19gbh3BzdAAxAkroeP9evX6+abb9Zzzz2np59+Wvv379eiRYu0b98+tz8KcF0mk1E8Hld7e7sWL16s9vZ2xeNxXx+8uQEagKCp+VDbv//97zruuOO0fv16XXjhhRNuz1BbeKV09mDkLlGaUMqv8zr09fWpvb19wu16e3sZsQGgZqo5ftd8tEs+n5ckzZo1q+zzxWJRhUJh2AKYFuSzB9wADUDQ1DR8OI6jZcuW6YILLtBpp51WdpvOzk41NTUNLbFYrJYlAWUF+fbp3AANQNDUNHzccsst+tOf/qQ1a9aMuc2KFSuUz+eHllwuV8uSgLKCfPaAG6ABCJqahY/Pf/7z+vnPf67e3l5Fo9Ext2toaFBjY+OwBTAtyGcPuAEagKBxPXw4jqNbbrlFmUxGv/vd7zRv3jy3PwJwXdDPHnADNJQTxGHjGK5e29D10S433XSTVq9erSeffFInnXTS0PqmpiYdeeSRE76e0S7wSmm0i6RhHU/9PtrlUMxwihImnQu+oLVhVcdvx2WSyi4//OEPK3p9Pp93JDn5fN7t0oAJrV271olGo8O+u7FYzFm7dq3XpQEVW7t2rWNZ1qi/w5ZlOZZl8X0OgCC2YTXH75rP81EtznzAa5w9QJDZtq14PD7m6C3LshSNRtXf38/32qeC2obVHL+5twswArdPR5BVM2yc77k/haENaz7JGADAnCAPG8dBYWhDwgcA1JEgDxvHQWFoQ8IHANSRoA8bRzjakPABAHWESeeCLwxtSPgAgDrDpHPBV+9tyFBbAKhTDBsPviC1YTXHb8IHAChYf+QBP2KeDwCoQtCmsQaCjj4fAEKtdE+fkZM6DQwMKJlMKpPJeFQZUL8IHwBCy7ZtpVIplbv6XFqXTqfr5k6igF8QPgCEVjXTWANwD+EDQGiFYRprwI8IHwBCKwzTWAN+RPgAEFphmMYa8CPCB4DQCsM01vA/27bV19enNWvWqK+vLxQdnAkfAEKt3qexhr9lMhnF43G1t7dr8eLFam9vVzwer/sh3sxwCgBihlOYV5pjZuRhuHTWLWjhl+nVAQDwMdu2FY/HxxzqbVmWotGo+vv7AxOCqzl+c9kFAADDwj7HDOEDAADDwj7HDOEDAADDwj7HDHe1BYAQooOtt0pzzAwMDJS9t1Cpz0e9zjHDmQ8ACJmwDu/0k7DPMUP4AIAQKQ3vHNnZcWBgQMlkkgBiUJjnmGGoLQCERD0O7wySsS511cslsGqO3/T5AICQqGZ4Z1tbm7nCQiCTySiVSg37/UejUXV3d6ujoyN0v28uuwBASIR9eKdXuNQ1GuEDAEIi7MM7vWDbtlKpVNkRLaV16XQ6FDeTOxThA0BohPHuoYcqDe8cObqixLIsxWKxuh3e6YWwz2Q6FsIHgFBgeCnDO73Apa7yCB9ACIT9f/xcc/+fMA/vNGHkvnbcccdV9LqwXepiqC1Q5ybqZV/vGF5aXr0M7/STcvtaa2ur3nrrLf3rX/8adybTevj+VXP8JnwAdaz0P/6Ru3npFHsY/qfb19en9vb2Cbfr7e0N3XBHuGe8fa207tB/lx5L9bMfVnP85rILUKfoZX8Q19xRaxPta5Zlafbs2VzqOgSTjCG06v20MxNKHcTwUtRaJfvaP//5T/3mN79RJBKp27851SB8IJTC0A+C//EfFPa7h05GvQdzNxz6O3rxxRcres3u3bt17bXX1riyYCB8IHTGujZbGvlQL6dB+R//QaXhpclkcsxr7gwv/Z8wBPNKjRXCyv2OKlHv+1o1QtPhdLwkP5mb/QT1/fxQg5c/0/nnn6/3vOc9oRj5UBrlMdH/+Ldv366NGzfWdbsnEgk9+eSTow4YsVhMXV1doTuojmWiDsqPPfaY3vWudwXuuzKZ9xsrhF177bW69957y+5TY6nV3xW3f0dTVdXx26mR+++/34nH405DQ4Nz1llnORs2bKjodfl83pHk5PN512pZu3atE41GHUlDSzQaddauXTvmc7fddlvVr/H7+/mhBq9/pmOPPXbY47GW3t5e175/Xlq7dq1jWZZjWdawn6+0Lqjfo8nWsH//fqe3t9dZvXq109vb6+zfv9/rJvKN/fv3j/q9jVwikUjgviuTeb/bbrtt1D4z2aW0r61du9bV9nL7d+SGao7fNQkfjz76qHP44Yc7Dz30kPPiiy86qVTKmTFjhvPaa69N+Fq3w0fpj2+5L8RkvkSTec4P7+eHGvzwM1W6rF692pXvnx+U+4MTi8XG/ANbj+1eqwNAPent7fVFO3n9fm4vsVisJsGjmp/N1L7hefg477zznBtvvHHYupNPPtlZvnz5hK91M3xUkuRZWMot9XLmo2Tk//iLxWLo9g3LspxYLMbZjjGsXr3a8zaql+WrX/1qzc6u1eK45ta+Uc3x2/UOp2+//ba2bNmi5cuXD1u/aNEibdy4cdT2xWJRxWJx6HGhUHCtlomGPwEj1evIh0gkMmw4bV9fX+j2DSckQ4sni86Q7rnoootq9h2rxXHNi33D9UnG/vGPf8i2bc2ZM2fY+jlz5mjnzp2jtu/s7FRTU9PQEovFXKul3ocQwl1hGvkQ5n0jzD/7eCa64y0mZuKuwLX8/prcN2o2w+nIL7Dz31neRlqxYoXy+fzQksvlXKuBJI/xvOtd7xr2OEyzDYZ53wjzzz6e8e54i9G8uitwLb+/RveNKV3gKaNYLDqRSMTJZDLD1t96663OhRdeOOHra9Hnww+djlj8s5SubxaLxdCOfAjjvkGfj8qU66A8cpRLWJZqRonVomNpObXYd73o81GzDqef+9znhq075ZRTjHc4dZzxhxqO9QWr5IsYtPfzQw1++ZkY9XBQUPcN2r32RnZQfvzxxwP5XZns+1USMLwctj3Wvuv1vuF5+CgNtf3BD37gvPjii046nXZmzJjhvPrqqxO+1tQ8H6Uv0XjDEKt9jd/fzw81+OVnwkG0OyoV1O/KZN/PcbwNGBPx475RzfG7ZjOcPvDAA7rnnns0ODio0047Tffdd58uvPDCCV/HDKf+mhUyCO/n1Wx+9YJ2R6WC+l2Z7Pv5nd/2jWqO36GZXh0AANRONcfvmo12AQAAKIfwAQAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjCB8AAMAowgcAADBqmtcFjFSacLVQKHhcCQAAqFTpuF3JxOm+Cx979uyRJMViMY8rAQAA1dqzZ4+amprG3cZ393Y5cOCA3njjDc2cOVOWZY277bnnnqtNmzZV9f6Vvmai7cZ7fqznKllfKBQUi8WUy+U8u7fNZH6vbr0P7TMx2mf89V63Ee0z/nraZ+rtM9421badm+3jOI727NmjlpYWHXbY+L06fHfm47DDDlM0Gq1o20gkUvUvp9LXTLTdeM+P9Vw16xsbGz07uE3m9+rW+9A+E6N9KlvvVRvRPpWtp32mtl21v++xnnO7fSY641ES6A6nN998c81eM9F24z0/1nPVrveKW/XQPrVB+0yuJlNon8nVZEo9tM9421Tbdl61j+8uu4RdNbckhnm0j//RRv5G+/ibqfYJ9JmPetTQ0KCvf/3ramho8LoUlEH7+B9t5G+0j7+Zah/OfAAAAKM48wEAAIwifAAAAKMIHwAAwCjCBwAAMIrwAQAAjCJ8BMxTTz2lk046Se9973v1/e9/3+tyMMJHPvIRHXPMMUomk16XghFyuZza2tp06qmn6owzztDjjz/udUk4xJ49e3Tuuedq4cKFOv300/XQQw95XRLKePPNN3XCCSfoS1/60pTeh6G2AbJ//36deuqp6u3tVWNjo8466yw9//zzmjVrltel4b96e3u1d+9ePfLII+rp6fG6HBxicHBQu3bt0sKFC7V7926dddZZeumllzRjxgyvS4Mk27ZVLBZ11FFH6c0339Rpp52mTZs2afbs2V6XhkN85Stf0SuvvKK5c+fq3nvvnfT7cOYjQF544QXNnz9fra2tmjlzpi699FL96le/8rosHKK9vV0zZ870ugyU0dzcrIULF0qSjjvuOM2aNUv/+te/vC0KQyKRiI466ihJ0ltvvSXbtiu6NTvMeeWVV/S3v/1Nl1566ZTfi/Bh0IYNG3T55ZerpaVFlmXpiSeeGLXNAw88oHnz5umII47Q2WefrWw2O/TcG2+8odbW1qHH0WhUAwMDJkoPham2D2rLzfbZvHmzDhw4oFgsVuOqw8ON9vnPf/6jBQsWKBqN6vbbb9exxx5rqPr650b7fOlLX1JnZ6cr9RA+DNq3b58WLFigVatWlX3+scceUzqd1le+8hX94Q9/UCKR0CWXXKLXX39dksr+L8CyrJrWHCZTbR/Ullvt889//lPXXXedHnzwQRNlh4Yb7XP00Ufrj3/8o/r7+7V69Wrt2rXLVPl1b6rt8+STT+rEE0/UiSee6E5BDjwhyVm3bt2wdeedd55z4403Dlt38sknO8uXL3ccx3GeeeYZ56qrrhp67tZbb3V++tOf1rzWMJpM+5T09vY6V199da1LDLXJts9bb73lJBIJ50c/+pGJMkNrKvtPyY033uj87Gc/q1WJoTaZ9lm+fLkTjUadE044wZk9e7bT2Njo3H333ZOugTMfPvH2229ry5YtWrRo0bD1ixYt0saNGyVJ5513nv7yl79oYGBAe/bs0S9+8QtdfPHFXpQbOpW0D7xTSfs4jqPrr79e//d//6clS5Z4UWZoVdI+u3btUqFQkHTwzqobNmzQSSedZLzWMKqkfTo7O5XL5fTqq6/q3nvv1ac//Wndeeedk/7MaVOqGK75xz/+Idu2NWfOnGHr58yZo507d0qSpk2bpm9/+9tqb2/XgQMHdPvtt9MT3JBK2keSLr74Ym3dulX79u1TNBrVunXrdO6555ouN3QqaZ9nnnlGjz32mM4444yh690//vGPdfrpp5suN3QqaZ8dO3boU5/6lBzHkeM4uuWWW3TGGWd4UW7oVPr3zU2ED58Z2YfDcZxh66644gpdccUVpsvCf03UPow+8tZ47XPBBRfowIEDXpSF/xqvfc4++2xt27bNg6pQMtHft5Lrr79+yp/FZRefOPbYYxWJREalzN27d49KozCP9vE32sffaB9/86J9CB8+MX36dJ199tl6+umnh61/+umndf7553tUFUpoH3+jffyN9vE3L9qHyy4G7d27V9u3bx963N/fr23btmnWrFmaO3euli1bpiVLluicc87R+973Pj344IN6/fXXdeONN3pYdXjQPv5G+/gb7eNvvmufSY+TQdV6e3sdSaOWpUuXDm1z//33OyeccIIzffp056yzznLWr1/vXcEhQ/v4G+3jb7SPv/mtfbi3CwAAMIo+HwAAwCjCBwAAMIrwAQAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjCB8AAMAowgcAADCK8AEAAIwifAAAAKP+H+VhvJyoMWsmAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plt.plot(xdata, ydata1, 'o')\n",
    "# plt.plot(xdata, ydata2, 'o')\n",
    "# plt.plot(xdata, ydata3, 'o')\n",
    "# plt.plot(xdata, ydata4, 'o')\n",
    "plt.plot(xdata, ydata5, 'o', color='black')\n",
    "# plt.plot(xdata, ydata6, 'o')\n",
    "# plt.plot(xdata, ydata7, 'd')\n",
    "plt.xscale('log')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "996eb877",
   "metadata": {},
   "outputs": [],
   "source": [
    "def lognormal(x, A, cen, wid):\n",
    "    return A * np.exp(-(np.log(x) - cen)**2 / (2 * wid**2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c9a97450",
   "metadata": {},
   "outputs": [],
   "source": [
    "def lognormal_sum(x, A1, cen1, wid1, A2, cen2, wid2):\n",
    "    return lognormal(x, A1, cen1, wid1) + lognormal(x, A2, cen2, wid2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "53653733",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a flag to filter the data\n",
    "flag2 = (xdata >= 1e1) & (xdata <= 1e3)\n",
    "flag = (xdata >= 1e1) & (xdata <= 3e2)\n",
    "flag3 = (xdata >= 1e1) & (xdata <= 1e2)\n",
    "flag4 = (xdata >= 1e0) & (xdata <= 0.5e2)\n",
    "# Filter the data using the flag\n",
    "xdata_filtered_1 = xdata[flag]\n",
    "xdata_filtered_2 = xdata[flag2]\n",
    "xdata_filtered_3 = xdata[flag3]\n",
    "xdata_filtered_4 = xdata[flag4]\n",
    "\n",
    "ydata1_filtered = ydata1[flag2]\n",
    "ydata2_filtered = ydata2[flag2]\n",
    "ydata3_filtered = ydata3[flag3]\n",
    "ydata4_filtered = ydata4[flag]\n",
    "ydata5_filtered = ydata5[flag4]\n",
    "ydata6_filtered = ydata6[flag4]\n",
    "ydata7_filtered = ydata7[flag2]\n",
    "\n",
    "plt.plot(xdata_filtered_4, ydata5_filtered, 'o')\n",
    "plt.plot(xdata_filtered_4, ydata6_filtered, 'o')\n",
    "plt.xscale('log')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "364d4c73",
   "metadata": {},
   "outputs": [],
   "source": [
    "popt1, pcov1 = curve_fit(lognormal, xdata_filtered_2, ydata1_filtered) #bare_Au10\n",
    "popt2, pcov2 = curve_fit(lognormal, xdata_filtered_2, ydata2_filtered) #paa_Au10\n",
    "popt3, pcov3 = curve_fit(lognormal, xdata_filtered_3, ydata3_filtered) #bare_Au10\n",
    "popt4, pcov4 = curve_fit(lognormal, xdata_filtered_1, ydata4_filtered) #paa_Au10\n",
    "popt5, pcov5 = curve_fit(lognormal, xdata_filtered_4, ydata5_filtered) #bare_Au10\n",
    "popt6, pcov6 = curve_fit(lognormal, xdata_filtered_4, ydata6_filtered) #paa_Au10\n",
    "popt7, pcov7 = curve_fit(lognormal, xdata_filtered_2, ydata7_filtered) #paa_Au10\n",
    "\n",
    "\n",
    "x_new = np.linspace(0.1,3000,10000)\n",
    "\n",
    "fit_y1 = lognormal(x_new,  *popt1)\n",
    "fit_y2 = lognormal(x_new,  *popt2)\n",
    "fit_y3 = lognormal(x_new,  *popt3)\n",
    "fit_y4 = lognormal(x_new,  *popt4)\n",
    "fit_y5 = lognormal(x_new,  *popt5)\n",
    "fit_y6 = lognormal(x_new,  *popt6)\n",
    "fit_y7 = lognormal(x_new,  *popt7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "31eba45f-ef71-4b71-bd28-cf72b03cbeb8",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Define colors\n",
    "c1 = 'black' ##Black\n",
    "c2 = 'purple' ##Purple\n",
    "c3 = '#F64C63' ##red\n",
    "c4 = '#4746C2' ##blue\n",
    "c5 = '#29AB87' ##Forest green\n",
    "c6 = '#EF820D' ##Orange F47d43\n",
    "c7 = '#4C86CB' ##Bolt Blue"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d2e5453e-d44e-47ce-95fa-356f3a4a43e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# ydata1 = np.asarray(d_peg5k['Avg_Intensity']) #bare_Au10\n",
    "# ydata2 = np.asarray(d_peg20k['Avg_Intensity']) #paa_Au10\n",
    "# ydata3 = np.asarray(d_peg40k['Avg_Intensity']) #bare_Au5\n",
    "# ydata4 = np.asarray(d_peg5k_au['Avg_Intensity']) #paa_Au5\n",
    "# ydata5 = np.asarray(d_ag10['Avg_Intensity']) #cooh5\n",
    "# ydata6 = np.asarray(d_au5['Avg_Intensity']) #cooh10\n",
    "# ydata7 = np.asarray(d_peg2k['Avg_Intensity']) #cooh10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "ca3a265a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure,ax = plt.subplots(figsize=(6,6))\n",
    "ax.plot(x_new, fit_y1, '-', color=c1,linewidth='3', label='PEG5k-AgNP10')\n",
    "ax.plot(x_new, fit_y2, '-', color=c2, linewidth='3',label='PEG20k-AgNP10')\n",
    "ax.plot(x_new, fit_y3, '-', color=c3,linewidth='3', label='PEG40k-AgNP10')\n",
    "ax.plot(x_new, fit_y4, '-', color=c4, linewidth='3',label='PEG5k-AuNP5')\n",
    "ax.plot(x_new, fit_y5, '--', color=c5,linewidth='3', label='Bare-AgNP10')\n",
    "ax.plot(x_new, fit_y6, '--', color=c6, linewidth='3',label='Bare-AgNP5')\n",
    "ax.plot(x_new, fit_y7, '-', color=c7, linewidth='3',label='PEG2k-AgNP10', alpha=0.5)\n",
    "\n",
    "\n",
    "ax.legend(loc='upper center', ncol=2, frameon=True, edgecolor='k',fontsize=13)\n",
    "\n",
    "\n",
    "ax.set_title(\"Hydrodynamic size distribution\",fontsize=20)\n",
    "ax.set_xscale('log')\n",
    "ax.set_xlim(4,300)\n",
    "ax.set_ylim(0,32)\n",
    "ax.tick_params(axis=\"both\",which=\"major\",labelsize=18, direction='in',width=2,length=8) \n",
    "ax.tick_params(axis=\"both\",which=\"minor\",labelsize=18, direction='in',width=1,length=4)\n",
    "ax.set_xlabel('Hydrodynamic Size (d. nm)', fontsize=20)\n",
    "ax.set_ylabel('Intensity (%)',fontsize=20)\n",
    "ax.spines['left'].set_linewidth(2)\n",
    "ax.spines['right'].set_linewidth(2)\n",
    "ax.spines['top'].set_linewidth(2)\n",
    "ax.spines['bottom'].set_linewidth(2)\n",
    "# ax.legend(frameon=True, edgecolor='k',fontsize=12)\n",
    "figure.tight_layout()\n",
    "#figure.savefig('DLS.png',dpi=600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f49eaf72-bd9a-4667-ae15-44b58a5f2dc9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# ydata1 = np.asarray(d_peg5k['Avg_Intensity']) #bare_Au10\n",
    "# ydata2 = np.asarray(d_peg20k['Avg_Intensity']) #paa_Au10\n",
    "# ydata3 = np.asarray(d_peg40k['Avg_Intensity']) #bare_Au5\n",
    "# ydata4 = np.asarray(d_peg5k_au['Avg_Intensity']) #paa_Au5\n",
    "# ydata5 = np.asarray(d_ag10['Avg_Intensity']) #cooh5\n",
    "# ydata6 = np.asarray(d_au5['Avg_Intensity']) #cooh10\n",
    "# ydata7 = np.asarray(d_peg2k['Avg_Intensity']) #cooh10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "3ca72eb6-2dac-4b2a-b347-7deea76da345",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PEG2k: 41.26198553136581 ± 15.873763207882579\n",
      "PEG5k:  54.37148467701063 22.036795173569452\n",
      "PEG20k:  125.19132365894207 48.86776261969331\n",
      "PEG40k:  114.35040136526257 42.915205303790735\n",
      "PEG5k-Au5:  39.142777203372866 10.248455545298858\n",
      "Ag10:  16.09185387862207 4.420663359152668\n",
      "Au5:  11.120963205409781 2.8438750959838988\n"
     ]
    }
   ],
   "source": [
    "def calculate_mean_std(x, y):\n",
    "    total_intensity = np.trapz(y, x)\n",
    "    mean_size = np.trapz(y * x, x) / total_intensity\n",
    "    std_dev = np.sqrt(np.trapz(y * (x - mean_size)**2, x) / total_intensity)\n",
    "    return mean_size, std_dev\n",
    "\n",
    "mean1, std1 = calculate_mean_std(x_new, fit_y1)\n",
    "mean2, std2 = calculate_mean_std(x_new, fit_y2)\n",
    "mean3, std3 = calculate_mean_std(x_new, fit_y3)\n",
    "mean4, std4 = calculate_mean_std(x_new, fit_y4)\n",
    "mean5, std5 = calculate_mean_std(x_new, fit_y5)\n",
    "mean6, std6 = calculate_mean_std(x_new, fit_y6)\n",
    "mean7, std7 = calculate_mean_std(x_new, fit_y7)\n",
    "\n",
    "print(f'PEG2k: {mean7} ± {std7}')\n",
    "print(\"PEG5k: \", mean1, std1)\n",
    "print(\"PEG20k: \", mean2, std2)\n",
    "print(\"PEG40k: \", mean3, std3)\n",
    "print(\"PEG5k-Au5: \", mean4, std4)\n",
    "print(\"Ag10: \", mean5, std5)\n",
    "print(\"Au5: \", mean6, std6)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "264e3211-cc08-4a62-bb76-a596ec68fd97",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
